969948742400 has 216 divisors, whose sum is σ = 2682913626288. Its totient is φ = 344104960000.

The previous prime is 969948742349. The next prime is 969948742417. The reversal of 969948742400 is 4247849969.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718380 + ... + 3054420.

It is an arithmetic number, because the mean of its divisors is an integer number (12420896418).

Almost surely, 2^969948742400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969948742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341456813144).

969948742400 is an abundant number, since it is smaller than the sum of its proper divisors (1712964883888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

969948742400 is a wasteful number, since it uses less digits than its factorization.

969948742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336119 (or 336100 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 969948742400 in words is "nine hundred sixty-nine billion, nine hundred forty-eight million, seven hundred forty-two thousand, four hundred".